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2 years ago

30% of a number is x. What is 100% of the number? Assume x>0. 100% of the number is

Mathematics

1 answer:

STatiana [176]2 years ago

6 0

Answer:

10x/3

Step-by-step explanation:

30% is to x as 100% is to y

We are looking for y in terms of x.

30/x = 100/y

30y = 100x

y = 100x/30

y = 10x/3

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Merle Fonda opened a new savings account. She deposited $40,000 at 10% compounded semiannually. At the start of the fourth year,

IrinaVladis [17]

Use compound interest formula F=P(1+i)^n twice, one for each deposit and sum the two results.

For the P=$40,000 deposit,
i=10%/2=5% (semi-annual)
number of periods (6 months), n = 6*2 = 12
Future value (at end of year 6),
F = P(1+i)^n = 40,000(1+0.05)^12 = $71834.253

For the P=20000, deposited at the START of the fourth year, which is the same as the end of the third year.
i=5% (semi-annual
n=2*(6-3), n = 6
Future value (at end of year 6)
F=P(1+i)^n = 20000(1+0.05)^6 = 26801.913

Total amount after 6 years
= 71834.253 + 26801.913
=98636.17 (to the nearest cent.)

8 0

2 years ago

A line has a slope of 4. What is the slope of any line perpendicular to this line? A −4 B −14 C 14 D undefined

ICE Princess25 [194]

Answer:

-1/4

Step-by-step explanation:

Perpendicular lines have slopes that multiply to -1

m * 4 = -1

Divide by 4

m = -1/4

The slope of a line that is perpendicular to a line that has a slope of 4 is -1/4

3 0

2 years ago

Read 2 more answers

If two angles are complementary angles and they measure m ∠1=(x + 5) and m∠2=(5x + 13). Find x and the measure for both an

Korolek [52]

5X+13+X+5=90°(SUM OF COMPLEMENTRY ANGLE IS EQUAL TO 90°)

6+18=90°

6X=90°-18°

X=72°/6

X=12 °ANSWER

6 0

2 years ago

Jordan invested $600 in a savings account. The interest rate is 6% per year. Find the simple interest earned in 3 years. Then fi

olga2289 [7]

In 3 years $108 in interest is earned

principle + interest = $708

8 0

2 years ago

Write an inequality for the graph

natima [27]

The open circle means the inequality will be greater than or equal to (≥) or less than or equal to (≤).
A closed circle means the inequality will be greater than (>) or less than (<)

An arrow pointing right to increasingly positive values means the inequality is getting greater (> or ≥)
A narrowing pointing left to increasingly negative values means the inequality is getting lesser (< or ≤)

So for this graph with an open circle and rightward pointing arrow, “x” will be some number on the number line greater than the first point of -38:
x > -38

6 0

2 years ago